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Fuzzy relation and fuzzy function over fuzzy sets: a retrospective

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Abstract

In this paper, some earlier results dealing with fuzzy relations on fuzzy sets by one of the present authors are recapitulated to clarify the motivational background of the present study. Then concepts like fuzzy homorelation, correlation, cohomorelation, fuzzy function and fuzzy morphism are introduced and discussed. The presentation is uniform and integrated in the sense that every concept is developed on fuzzy set as base and is organized from the angle of foundational aspects of fuzzy set theory.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, Chennai, India

    Soma Dutta

  2. Jadavpur University and Indian Statistical Institute, Kolkata, India

    Mihir K. Chakraborty

Authors
  1. Soma Dutta
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  2. Mihir K. Chakraborty
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Correspondence to Soma Dutta.

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Communicated by L. Spada.

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Dutta, S., Chakraborty, M.K. Fuzzy relation and fuzzy function over fuzzy sets: a retrospective. Soft Comput 19, 99–112 (2015). https://doi.org/10.1007/s00500-014-1356-z

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